Delsarte–Goethals code
The Delsarte Goethals code is a type of error correcting code.
History
The concept was introduced by mathematicians Ph. Delsarte and J.-M. Goethals in their published paper.[1][2]
A new proof of the Delsarte Goethals code was published in 1970.[3]
Function
The Delsarte-Goethals code DG(u, r) for even u ≥ 4 and 1 ≤ r ≤ u/2 is a binary, non-linear (2u, 2(u−1)(u/2-r+1)+u+1, 2m−1 – 2m−1−d)-code [1]. For r = u/2 − 1 it has strength 7 and is therefore an orthogonal array OA(23u−1, 2u, ℤ2, 7).[4][5]